4,547,727

3² × 101 × 5003

4,547,727 factors as 3^2 × 101 × 5003. Its 12 positive divisors give a proper-divisor sum of 2,087,577, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 3^2 × 101 × 5003

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,635,304

Proper Divisor Sum 2,087,577

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4547713 ← → #4547729

Radix Representation

Decimal	4547727
Binary	10001010110010010001111 (23 bits)
Octal	0o21262217
Hexadecimal	0x45648F

Divisor Catalog (12)

1 3 9 101 303 909 5,003 15,009 45,027 505,303 1,515,909 4,547,727

Collatz Trajectory (118 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,547,727 13,643,182 6,821,591 20,464,774 10,232,387 30,697,162 15,348,581 46,045,744 23,022,872 11,511,436 5,755,718 2,877,859 8,633,578 4,316,789 12,950,368 6,475,184 3,237,592 1,618,796 809,398 404,699 1,214,098 607,049 1,821,148 910,574 455,287 1,365,862 682,931 2,048,794 1,024,397 3,073,192 1,536,596 768,298 384,149 1,152,448 576,224 288,112 144,056 72,028 36,014 18,007 54,022 27,011 81,034 40,517 121,552 60,776 30,388 15,194 7,597 22,792 11,396 5,698 2,849 8,548 4,274 2,137 6,412 3,206 1,603 4,810

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